3(2t-6)=-2(3t-8)

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Solution for 3(2t-6)=-2(3t-8) equation:


Simplifying
3(2t + -6) = -2(3t + -8)

Reorder the terms:
3(-6 + 2t) = -2(3t + -8)
(-6 * 3 + 2t * 3) = -2(3t + -8)
(-18 + 6t) = -2(3t + -8)

Reorder the terms:
-18 + 6t = -2(-8 + 3t)
-18 + 6t = (-8 * -2 + 3t * -2)
-18 + 6t = (16 + -6t)

Solving
-18 + 6t = 16 + -6t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '6t' to each side of the equation.
-18 + 6t + 6t = 16 + -6t + 6t

Combine like terms: 6t + 6t = 12t
-18 + 12t = 16 + -6t + 6t

Combine like terms: -6t + 6t = 0
-18 + 12t = 16 + 0
-18 + 12t = 16

Add '18' to each side of the equation.
-18 + 18 + 12t = 16 + 18

Combine like terms: -18 + 18 = 0
0 + 12t = 16 + 18
12t = 16 + 18

Combine like terms: 16 + 18 = 34
12t = 34

Divide each side by '12'.
t = 2.833333333

Simplifying
t = 2.833333333

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